Natural vibrations of thick circular plate based on the modified Mindlin theory

Senjanović, Ivo and Hadžić, Neven and Vladimir, Nikola and Cho, Dae Seung (2014) Natural vibrations of thick circular plate based on the modified Mindlin theory. = Natural vibrations of thick circular plate based on the modified Mindlin theory. Archives of Mechanics, 66 (6). pp. 389-409. ISSN 0373-2029. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q3 (2014). Točan broj autora: 4.

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Abstract

Outline of the modified Mindlin theory is presented in which the Mindlin mathematical model with three differential equations of motion for total deflection and rotations is decomposed into a single equation for pure bending vibrations with transverse shear and rotary inertia effects and two differential equations for in-plane shear vibrations. The governing equations are transformed from orthogonal to polar coordinate system for the purpose of circular plate vibration analysis. The fourth order differential equation of flexural vibrations is split further into two second order equations of Bessel type. Also, the in-plane shear differential equations are trans-formed to Bessel equation by introducing displacement potential functions. The exact values of natural frequencies are listed and compared with FEM results. Copyright © 2014 by IPPT PAN.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): Analytical solutions; FEM; Flexural vibration; In-plane shear vibration; Modified Mindlin theory; Thick circular plate
Subjects: TECHNICAL SCIENCE > Shipbuilding
TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 600 Department of Naval Engineering and Marine Technology > 620 Chair of Marine Structures Design
600 Department of Naval Engineering and Marine Technology > 650 Chair of Marine Machinery and System Design
Indexed in Web of Science: Yes
Indexed in Current Contents: Yes
Citations JCR: 4 (18.10.2017.)
Quartiles: Q3 (2014)
Citations SCOPUS: 4 (18.10.2017.)
Date Deposited: 01 Jun 2015 10:05
Last Modified: 18 Oct 2017 09:42
URI: http://repozitorij.fsb.hr/id/eprint/4225

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